Diana had $64 more than Victoria. Diana spent
58 of her money and Victoria spent
34 of her money. In the end, Diana had 2 times as much as Victoria. Find the amount of money Victoria had at first.
| |
Diana |
Victoria |
Comparing Diana
and Victoria at first |
$64 more |
|
| Before |
8x2 =
16 u |
4x3 =
12 u |
| Change |
- 5x2 =
- 10 u |
- 3x3 =
- 9 u |
| After |
3x2 =
6 u |
1x3 =
3 u |
Comparing Diana
and Victoria in the end |
2x3 =
6 u |
1x3 =
3 u |
The amount that Diana had in the end is repeated. Make the amount that Diana had in the end the same. LCM of 2 and 3 is 6.
Amount that Diana had more than Victoria
= 16 u - 12 u
= 4 u
4 u = 64
1 u = 64 ÷ 4 = 16
Amount that Victoria had at first
= 12 u
= 12 x 16
= $192
Answer(s): $192
